Oakview Preparatory School of Seventh-day Adventists

 

 

 

GRADE

8

Pre-March Mathematics Units

2005-2006

 

 

Instructor

Mr. Elvis Agard

 

 

 


Table of Contents Sequence of Units 2005-2006

 

 

 

Ø      Assessment Rubric

 

Ø     September

Ratios, Rates, Percentages

 

Ø      October

Algebra Part 1

 

Ø      November

Algebra Part 2

 

Ø      December

Geometric Relationships

 

Ø      January

Transformational Geometry

 

Ø      February

Mock State Exams

 

Ø      March

            NYS Examination

 

Ø      April

            Post-March Curriculum

 

Ø      May

            Post-March Curriculum

 

Ø      June

            Post-March Curriculum

 

 

Ø     More Internet Resources


Assessment Rubric

4 = Exceeds the standards (Advanced)

3 = Meets the standards (Proficient)

2 = Approaching the standards (Developing)

1 = Below the standards (Latent)

 

 

- = Novice

Ö = Apprentice

+ = Practitioner

 = Expert

Knowledge

Student is unable to attain and communicate the necessary information or shows little initiative to try.

Student shows willingness to learn the information, but is unable to meet the minimum requirement of 70% on assignments. Inconsistently meets the standards.

Student scores a minimum of 70% on tests, presentations, worksheets and projects, or a rating of proficient on a scoring guide. Consistently meets the standards.

Student demonstrates in-depth knowledge and consistently scores above 90% on assignments, or a rating of advanced on a scoring guide. Consistently exceeds the standards.

Skills

Student fails to attain or demonstrate the required skills to a minimum level and shows minimum initiative to learn.

Student partially demonstrates the required skill or unable to master the skill on a consistent basis.

Student can demonstrate the required skill a minimum of three times or on a consistent basis, or a rating of proficient on a scoring guide.

Student demonstrates the required skill at an exceptional level in a self-directed manner, or a rating of advanced on a scoring guide. Consistently exceeds the standards.

 

 

The Five Process Strands (how all mathematical content is taught)

Problem Solving Strand      (PS)     Students will:

Ÿ    build new mathematical knowledge through problem solving;

Ÿ    solve problems that arise in mathematics and in other contexts;

Ÿ    apply and adapt a variety of appropriate strategies to solve problems;

Ÿ    monitor and reflect on the process of mathematical problem solving.

Reasoning and Proof Strand           (RP)    Students will:

Ÿ    recognize reasoning and proof as fundamental aspects of mathematics;

Ÿ    make and investigate mathematical conjectures;

Ÿ    develop and evaluate mathematical arguments and proofs;

Ÿ    select and use various types of reasoning and methods of proof.

Communication Strand        (CM)   Students will:

Ÿ    organize and consolidate their mathematical thinking through communication;

Ÿ    communicate their mathematical thinking coherently and clearly to peers, teachers, and others;

Ÿ    analyze and evaluate the mathematical thinking and strategies of others;

Ÿ    use the language of mathematics to express mathematical ideas precisely.

Connections Strand (CN)    Students will:

Ÿ    recognize and use connections among mathematical ideas;

Ÿ    understand how mathematical ideas interconnect and build on one another to produce a coherent whole;

Ÿ    recognize and apply mathematics in contexts outside of mathematics.

Representation Strand         (R)       Students will:

Ÿ    create and use representations to organize, record, and communicate mathematical ideas;

Ÿ    select, apply, and translate among mathematical representations to solve problems;

Ÿ    use representations to model and interpret physical, social, and mathematical phenomena.


 

Unit Title

 

Ratios, Rates, Percentages

Text

McDougal Little Middle School Math Course 3

Strand Addressed

Number Sense and Operations (with focus on operations & estimation)

Unit Objectives

(Students will…)

Content:

Ÿ    Read, write, and identify percents less than 1% and greater than 100%

Ÿ    Apply percents to: Tax, percent increase/decrease, simple interest, sale price, commission, interest rates, and gratuities

Ÿ    Estimate a percent of a quantity, given an application

Ÿ    Solve equations/proportions to convert to equivalent measurements within metric and customary measurement systems. Note: Also allow Fahrenheit to Celsius and vice versa

Attitudinal:

Ÿ    Appreciate that proportions are necessary to everyday life e.g. recipes, clothing sizes

Ÿ    Be willing to learn how to correctly apply proportions to real life

Process:

Ÿ    Make connections between proportions and the real world.

Ÿ    Understand that some forms of representing proportions are more efficient than others depending on the situation

Ÿ    Work in cooperative groups to solve proportions problems

 

 

 

Resources

Internet

Harcourt Learning Site Activities

http://classzone.com/books/msmath_3/

 

Chapter 7: Ratio, Proportion, and Percent

 

Ÿ    eTutorial Plus Online

Ÿ    eWorkbook Plus Online

Ÿ    Parents as Partners (pdf)

Ÿ    Audio Summaries Transcripts

Ÿ    Road Trip Activity

Ÿ    Flipcard Activity

Ÿ    More Examples

Ÿ    Test Practice

Ÿ    Problem of the Week

Ÿ    Activity of the Month

Ÿ    Project Support

 

 

www.Brainpop.com

Ÿ    Ratios, Rates and Percentages Movies

Textbook

Problem of the Day

Per lesson

Intervention

Ÿ    Corresponding activities and exercises from the Mathematics in Action Series with recommended private turoring

Enrichment

Ÿ    Chapter 7 Resource Book

-          Activities and Applications

-          Projects

Enrichment

Level 4-6: Mathematics Activities for Elementary Classroom (KSAM)

Publisher: Curriculum Associates

Ÿ    Bouncing Ratios

Writing

TE pg 315

 

Technology

Online Math Quizzes

 


 Ratios, Rates, Percentages

 

NB: Mandatory portfolio items are in bold.  Strands addressed are shaded grey.

Standards by

CONTENT STRANDS

Standards by

PROCESS STRANDS

8N3

8N4

8N5

8N6

8M1

 

 

 

PS

RP

CM

CN

R

Lesson 7.1 Ratio and Rates

 

 

 

 

 

 

 

 

 

 

 

 

 

Lesson 7.2 Writing and Solving Proportions

 

 

 

 

 

 

 

 

 

 

 

 

 

Lesson 7.4 Fractions, Decimals, and Percents

 

 

 

 

 

 

 

 

 

Problem Solving Activity